In the usual forms of homogeneity analysis (which are also known as multiple correspondence analysis or MCA) the size of a point set is defined as the size of the star plot of the set. The star plot is the graph defined by connecting all points in the set with their centroid, and the size is the total squared length of the edges. In order to prevent trivial solutions the configuration X is usua...

Previous authors have tried to image seismic reflectivity by crosscorrelating passive seismic data, and treating the resultant correlograms as active source seismograms. We provide a mathematical framework for working with passive seismic correlograms that is both appropriate for V (x , y, z) media, and arbitrary source location. Under this framework, correlograms can be migrated with an imagin...

Almost every real world problem involves simultaneous optimization of several incommensurable and often competing objectives which constitutes a multi-objective optimization problem. In multi-objective optimization problems the optimal solution is not unique as in single-objective optimization problems. This paper is concerned with large-scale structural optimization of skeletal structures such...

We address the problem of time to depth conversion of time migrated seismic images and show that the Dix velocities estimated from time migration velocities are the true seismic velocities divided by the geometrical spreading of image rays. We pose an inverse problem: to find seismic velocities from Dix velocities and suggest two algorithms for solving this problem. One algorithm is based on th...

2-D elementspace and beamspaceextensions of Friedlander’s wideband interpolated root-MUSIC technique are applied to azimuthvelocity source location using real seismic data from the GERESS array (Germany). We demonstrate that 2-D interpolated rootMUSIC is able to estimate the parameters of a typical seismic source with a good accuracy. The use of interpolated root-MUSIC and its beamspace modific...

Let denote by Fk,n the nth k-Fibonacci number where Fk,n = kFk,n−1+Fk,n−2 for n 2 with initial conditions Fk,0 = 0, Fk,1 = 1, we may derive a functionalequation f(k, x) = kf(k, x − 1) + f(k, x − 2). In this paper, we solve thisequation and prove its Hyere-Ulam stability in the class of functions f : N×R ! X,where X is a real Banach space.

The analysis and classification of seismic patterns, which are typically registered as digital signals, can be used to monitor and understand the underlying geophysical phenomena beneath the volcanoes. In recent years, there has been an increasing interest in the development of automated systems for labeling those signals according to a number of pre-defined volcanic, tectonic and environmental...

Information about reservoir properties usually comes from two sources: seismic data and well logs. The former provide an indirect, low resolution image of rock velocity and density. The latter provide direct, high resolution (but laterally sparse) sampling of these and other rock parameters. An important problem in reservoir characterization is how best to combine these data sets, allowing the ...

Unfaulting seismic images to correlate seismic reflectors across faults is helpful in seismic interpretation, and is useful for seismic horizon extraction. Methods for unfaulting typically assume that fault geometries need not change during unfaulting. However, for seismic images containing multiple faults and, especially, intersecting faults, this assumption often results in unnecessary distor...